Transmission Networks: Modeling and Optimization

This project is on modeling and optimization of transmission networks. These networks perform a crucial job in communication (including data and voice), energy transmission (for example gas, electrical, and oil), micro-electronics, etc. The objective of this project is to take into account 2 different problems related to transmission networks: the dynamics on a data communication network and the optimum design of a general transmission network positioned on a non-uniform landscape. The initial portions of this dissertation create and apply mathematical models of congested Internet connections and explain potential extensions to network traffic state estimation and network security. The next section discusses an optimal network design problem by way of a variation on the Euclidean Steiner tree problem, a well-known network optimisation problem.

Contents: Transmission networks project

1 Introduction
2 Two Models for the Study of Congested Internet Connections
2.1 Introduction
2.2 The Models
2.2.1 The Continuous-Time Model
2.2.2 Towards a Discrete-Time Model
2.2.3 The Discrete-Time Model
2.2.4 Results
2.3 Extensions
2.3.1 Estimating the Interdrop Time
2.3.2 Full Red Implementation
2.4 Towards Network State Estimation
2.5 Conclusion
3 Bifurcations and Chaos in a Periodically Probed Computer Network
3.1 Introduction
3.2 Models
3.2.1 Stochastic Model
3.2.2 Deterministic Model
3.3 Results
3.3.1 One-Dimensional Map
3.4 Discussion
3.5 Conclusion
4 Optimizing Transmission Network Layout
4.1 Introduction
4.2 Problem Formulation
4.2.1 Network Steiner Tree Formulation
4.2.2 Problem Instances
4.3 Genetic Algorithm: Queen Bee Selection with Spatial-Horizontal Crossover
4.3.1 The Algorithm
4.3.2 Explanation
4.3.3 Improvement Procedures
4.4 Results
4.5 Conclusion
A Data Sets for Optimizing Transmission Network Layout
A.1 Grid Data
A.2 Terminal Node Sets
A.3 Solutions………….

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